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Standing Waves Handout

 

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AP Physics

B. Closed / Both Ends

L = distance between walls

String fixed at both ends
 or Open Pipe Both ends

L = (nl/2)

n = 1,2,3 ....

since v=fl

then

fn = n[v/2L]

 

n = 1,2,3 ....

Each frequency is a multiple of the fundamental frequency

 

 

C. Closed at One End

L= [n/4]l

n = 1,3,5,7 .....

since v=fl

then

fn = nv/4L

n = 1,3,5,7 .....

frequency goes up by 2 times fundamental and are divisible by ODD number

 

D. Open at Both Ends

1/2, 2/2, 3/2, 4/2

 

L = n(1/2)λ

 

Giancoli p. 348) 34, 36

 

34) Closed

88 Hz is fundamental

36) Open Pipe Fundamental 40 Hz, both are even number multiples of 40 not odd multiple of 20

 

f = v/2L = 40 Hz = (340 m/s)/2L   L = 4.3 m

 

 

Review Book p. 302) 10.

 

Open at one end

n = 1 fundamental

f = v/4L

= 340 m/s/(4 x .17)

= 500 Hz

 

p. 303) 10

 

 

 

Beats - Rhythmic interference between two semi identical frequency sources

 

Beat Frequency = |f1 - f2|

 

 

Resonance

 

 

Enrichment

 

 

 

Standing Waves/Sound/Chladni
Berkeley Univ.

Standing Waves - Wake Forest .U.

(Chladni Disk)

 

 

 

Water Drop in Zero g

School blocks YouTube?
Download the file below.

Large_Free_Sphere_of_Water.mov

 

 

 

Standing Waves
HyperPhysics (offsite
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